Linear interpolation revitalized

IEEE Transactions on Image Processing

Volumn 13, Issue 5, 2004, Pages 710-719

  Blu, Thierry ^a   Thévenaz, Philippe ^a   Unser, Michael ^a  

^a EPFL   (Switzerland)

Author keywords

Approximation methods; Error analysis; Interpolation; Piecewise linear approximation; Recursive digital filters; Spline functions

Indexed keywords

IMAGE QUALITY; INTERPOLATION; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES;

RECURSIVE DIGITAL FILTERS; SPLINE FUNCTIONS;

IMAGE PROCESSING;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; FEEDBACK SYSTEM; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL; VALIDATION STUDY; VIDEORECORDING;

ALGORITHMS; FEEDBACK; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; LINEAR MODELS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SUBTRACTION TECHNIQUE; VIDEO RECORDING;

EID: 2442610636     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2004.826093     Document Type: Article

References (18)

1. E. H. W. Meijering, "A chronology of interpolation: From ancient astronomy to modern signal and image processing," Proc. IEEE, vol. 90, no. 3, pp. 319-342, Mar. 2002.
2. Handbook of Medical Imaging, Processing and Analysis, I. N. Bankman, Ed., Academic, New York, 2000, pp. 393-420. Image interpolation and resampling.
3. R. G. Keys, "Cubic convolution interpolation for digital image processing," IEEE Trans. Acoust., Speech, Signal Process., vol. 29, pp. 1153-1160, Dec. 1981.
4. P. Thévenaz, T. Blu, and M. Unser, "Interpolation revisited," IEEE Trans. Med. Imag., vol. 19, pp. 739-758, July 2000.
5. E. H. W. Meijering, W. J. Niessen, and M. A. Viergever, "Quantitative evaluation of convolution-based methods for medical image interpolation," Med. Image Anal., vol. 5, no. 2, pp. 111-126, June 2001.
6. T. Lehmann, C. Gönner, and K. Spitzer, "Addendum: B-spline interpolation in medical image processing," IEEE Trans. Med. Imag., vol. 20, pp. 660-665, July 2001.
7. T. Blu, P. Thévenaz, and M. Unser, "MOMS: Maximal-order interpolation of minimal support," IEEE Trans. Image Processing, vol. 10, pp. 1069-1080, July 2001.
8. M. Unser, A. Aldroubi, and M. Eden, "Enlargement or reduction of digital images with minimum loss of information," IEEE Trans. Image Processing, vol. 4, pp. 247-258, Mar. 1995.
9. A. Muñoz, T. Blu, and M. Unser, "Least-squares image resizing finite differences," IEEE Trans. Image Processing, vol. 10, pp. 1365-1378, Sept. 2001.
10. G. Plonka, "Optimal shift parameters for periodic spline interpolation," Numer. Algorithms, vol. 6, no. 3-4, pp. 481-510, Mar. 1994.
11. G. Ramponi, "Warped distance for space-variant linear image interpolation," IEEE Trans. Image Processing, vol. 8, pp. 629-639, May 1999.
12. T. Blu and M. Unser, "Quantitative Fourier analysis of approximation techniques: Part I-Interpolators and projectors," IEEE Trans. Signal Processing, vol. 47, no. 10, pp. 2783-2795, Oct. 1999.
13. M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Process. Mag., vol. 16, pp. 22-38, Nov. 1999.
14. T. Blu and M. Unser, "Approximation error for quasiinterpolators and (multi-) wavelet expansions," Appl. Comput. Harmon. Anal., vol. 6, no. 2, pp. 219-251, Mar. 1999.
15. G. Strang and G. Fix, "A Fourier analysis of the finite element variational method," in Constructive Aspects of Functional Analysis, G. Geymonat, Ed, Rome: Edizioni Cremonese, 1973, pp. 793-840.
16. M. Unser, "Approximation power of biorthogonal wavelet expansions," IEEE Trans. Signal Processing, vol. 44, pp. 519-527, Mar. 1996.
17. M. Unser and I. Daubechies, "On the approximation power of convolution-based least-squares versus interpolation," IEEE Trans. Signal Processing, vol. 45, no, 7, pp. 1697-1711, July 1997.
18. http://bigwww.epfl.ch/demo/jshiftnear/